Trans men who take testosterone, I believe, are disqualified from women’s olympics because it’s considered performance enhancing. Though I’m sure they’d prefer to compete with other men, you’re right that if they were able to compete against women they would likely beat most of them in strength based competitions because they have more testosterone than the average woman. Not more than ANY woman, mind you.

Would that be problematic? For sure. I’d liken it to how every high school quarterback wants to be a professional football player. Good for the spectacle, very bad for the humans sacrificing their life upon on altar of sport in the hope they are chosen. I’m generally against professional sports as an industry, though I’ve nothing inherently against sporting competitions and think they’re wonderful.

You may have realized already that your question applies to a much smaller subset of the population. We’re often considered a statistical outlier we’re so rare! In that way, it’s very similar to other genetic differences.

Strength competitions should be divided by weight class already, I’m sure we both know that. Assuming they won’t be, they should apply to everyone regardless of gender, since we know that won’t happen, I think it’s reasonable to ask that trans people be allowed to compete. With the caveat that they perform the same tests as everyone else, and be kicked out for doping like anyone else. Which would probably require us to define acceptable levels of hormones for cis AND trans people in each category, which we really should be doing already (and I believe we are, if I remember correctly. There was a cis woman who was booted for having high testosterone).